51380 has 24 divisors (see below), whose sum is σ = 123648. Its totient is φ = 17568.

The previous prime is 51361. The next prime is 51383. The reversal of 51380 is 8315.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (5152).

2⁵¹³⁸⁰ is an apocalyptic number.

It is an amenable number.

51380 is an abundant number, since it is smaller than the sum of its proper divisors (72268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61824).

51380 is a wasteful number, since it uses less digits than its factorization.

51380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51380 is about 226.6715685744. The cubic root of 51380 is about 37.1761746696.

Adding to 51380 its reverse (8315), we get a palindrome (59695).

The spelling of 51380 in words is "fifty-one thousand, three hundred eighty".